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Finding the Fourth Proportional to 372.29, 513.81 and 232.53

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Solution

The fourth proportional to 372.29, 513.81 and 232.53 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.29 : 513.81 = 232.53 : x
  2. Step 2: Convert to fraction form
    372.29/513.81 = 232.53/x
  3. Step 3: Cross multiply
    372.29x = 513.81 × 232.53
  4. Step 4: Simplify right side
    372.29x = 119,476.24
  5. Step 5: Solve for x
    x = 119,476.24/372.29
  6. Step 6: Final answer
    x = 320.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.